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1255408896 = 2837293797
BaseRepresentation
bin100101011010100…
…0000010100000000
310020111021101020210
41022311000110000
510032341041041
6324323434120
743052541150
oct11265002400
93214241223
101255408896
11594711315
122b0525940
13170124801
14bca34760
1575333016
hex4ad40500

1255408896 has 144 divisors (see below), whose sum is σ = 3836375424. Its totient is φ = 357015552.

The previous prime is 1255408873. The next prime is 1255408897. The reversal of 1255408896 is 6988045521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255408897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574770 + ... + 1575566.

It is an arithmetic number, because the mean of its divisors is an integer number (26641496).

Almost surely, 21255408896 is an apocalyptic number.

1255408896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918187712).

1255408896 is an abundant number, since it is smaller than the sum of its proper divisors (2580966528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1255408896 is an equidigital number, since it uses as much as digits as its factorization.

1255408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 1255408896 is about 35431.7498297784. The cubic root of 1255408896 is about 1078.7688577279.

The spelling of 1255408896 in words is "one billion, two hundred fifty-five million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 293 336 384 448 586 672 768 797 879 896 1172 1344 1594 1758 1792 2051 2344 2391 2688 3188 3516 4102 4688 4782 5376 5579 6153 6376 7032 8204 9376 9564 11158 12306 12752 14064 16408 16737 18752 19128 22316 24612 25504 28128 32816 33474 37504 38256 44632 49224 51008 56256 65632 66948 75008 76512 89264 98448 102016 112512 131264 133896 153024 178528 196896 204032 225024 233521 262528 267792 306048 357056 393792 467042 525056 535584 612096 700563 714112 787584 934084 1071168 1401126 1428224 1575168 1634647 1868168 2142336 2802252 3269294 3736336 4284672 4903941 5604504 6538588 7472672 9807882 11209008 13077176 14945344 19615764 22418016 26154352 29890688 39231528 44836032 52308704 59781376 78463056 89672064 104617408 156926112 179344128 209234816 313852224 418469632 627704448 1255408896